{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Extended DMD for Van Der Pol System\n",
    "\n",
    "In this example, we will train a linear Koopman model using EDMD (see Williams,\n",
    "Kevrekidis & Rowley, _\"A Data–Driven Approximation of the Koopman Operator: Extending\n",
    " Dynamic Mode Decomposition\"_, Journal of Nonlinear Science 25, pp. 1307-1346, 2015)\n",
    "for a nonlinear, dynamical system. The approach is demonstrated for discrete-time Van\n",
    " der Pol system in reverse time:\n",
    "\n",
    "$$x_{k+1} = x_k - y_k dt,\\\\\n",
    "y_{k+1} = y_k + (x_k-y_k+x_k^2y_k)dt$$\n",
    "\n",
    "where $dt=0.1$ (this is example II from Surana & Banaszuk, _\"Linear observer synthesis\n",
    "for nonlinear systems using Koopman Operator framework\"_, IFAC 49-18 (2016), pp.\n",
    "716-723)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../src')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pykoopman as pk\n",
    "import numpy as np\n",
    "import numpy.random as rnd\n",
    "np.random.seed(42)  # for reproducibility\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from pykoopman.common import rev_dvdp  # discrete-time, reverse-time van der Pol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Collect training data\n",
    "The training data consists of a snapshot pair taken from 51 uniformly distributed\n",
    "random initial conditions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_states = 2  # Number of states\n",
    "dT = 0.1      # Timestep\n",
    "n_traj = 51   # Number of trajectories\n",
    "n_int = 4     # Integration length\n",
    "\n",
    "# Uniform distribution of initial conditions\n",
    "x = xE = 2*rnd.random([n_states, n_traj])-1\n",
    "\n",
    "# Init\n",
    "X = np.zeros((n_states, n_int*n_traj))\n",
    "Y = np.zeros((n_states, n_int*n_traj))\n",
    "\n",
    "# Integrate\n",
    "for step in range(n_int):\n",
    "    y = rev_dvdp(0, x, 0, dT)\n",
    "    X[:, (step)*n_traj:(step+1)*n_traj] = x\n",
    "    Y[:, (step)*n_traj:(step+1)*n_traj] = y\n",
    "    x = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'training data. num traj = 51, each traj time step = 4')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize first 100 steps of the training data\n",
    "fig, axs = plt.subplots(1, 1, tight_layout=True, figsize=(4, 4))\n",
    "for traj_idx in range(n_traj):\n",
    "    axs.plot([X[0, traj_idx::n_traj], Y[0, traj_idx::n_traj]],\n",
    "             [X[1, traj_idx::n_traj], Y[1, traj_idx::n_traj]], '-ok',markersize=3)\n",
    "axs.set(ylabel=r'$x_2$', xlabel=r'$x_1$')\n",
    "axs.set_title('training data. num traj = {}, each traj time step = {}'.format(n_traj,n_int))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Koopman regression using EDMD\n",
    "As basis functions we choose thinplate radial basis functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Koopman(observables=RadialBasisFunction(centers=array([[-0.37128804,  0.01714138,  0.81513295, -0.50141554, -0.17923415,\n",
       "         0.51110228, -0.54240367, -0.84604018, -0.42049709, -0.67755743],\n",
       "       [ 0.8593953 ,  0.61624076,  0.26680751,  0.74292118,  0.60734415,\n",
       "        -0.62685988,  0.785118  ,  0.07868448,  0.61488031,  0.7921826 ]]),\n",
       "                                        kernel_width=1, rbf_type=&#x27;thinplate&#x27;),\n",
       "        regressor=EDMD())</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" ><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Koopman</label><div class=\"sk-toggleable__content\"><pre>Koopman(observables=RadialBasisFunction(centers=array([[-0.37128804,  0.01714138,  0.81513295, -0.50141554, -0.17923415,\n",
       "         0.51110228, -0.54240367, -0.84604018, -0.42049709, -0.67755743],\n",
       "       [ 0.8593953 ,  0.61624076,  0.26680751,  0.74292118,  0.60734415,\n",
       "        -0.62685988,  0.785118  ,  0.07868448,  0.61488031,  0.7921826 ]]),\n",
       "                                        kernel_width=1, rbf_type=&#x27;thinplate&#x27;),\n",
       "        regressor=EDMD())</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" ><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">observables: RadialBasisFunction</label><div class=\"sk-toggleable__content\"><pre>RadialBasisFunction(centers=array([[-0.37128804,  0.01714138,  0.81513295, -0.50141554, -0.17923415,\n",
       "         0.51110228, -0.54240367, -0.84604018, -0.42049709, -0.67755743],\n",
       "       [ 0.8593953 ,  0.61624076,  0.26680751,  0.74292118,  0.60734415,\n",
       "        -0.62685988,  0.785118  ,  0.07868448,  0.61488031,  0.7921826 ]]),\n",
       "                    kernel_width=1, rbf_type=&#x27;thinplate&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" ><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">RadialBasisFunction</label><div class=\"sk-toggleable__content\"><pre>RadialBasisFunction(centers=array([[-0.37128804,  0.01714138,  0.81513295, -0.50141554, -0.17923415,\n",
       "         0.51110228, -0.54240367, -0.84604018, -0.42049709, -0.67755743],\n",
       "       [ 0.8593953 ,  0.61624076,  0.26680751,  0.74292118,  0.60734415,\n",
       "        -0.62685988,  0.785118  ,  0.07868448,  0.61488031,  0.7921826 ]]),\n",
       "                    kernel_width=1, rbf_type=&#x27;thinplate&#x27;)</pre></div></div></div></div></div></div><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" ><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">regressor: EDMD</label><div class=\"sk-toggleable__content\"><pre>EDMD()</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-5\" type=\"checkbox\" ><label for=\"sk-estimator-id-5\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">EDMD</label><div class=\"sk-toggleable__content\"><pre>EDMD()</pre></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "Koopman(observables=RadialBasisFunction(centers=array([[-0.37128804,  0.01714138,  0.81513295, -0.50141554, -0.17923415,\n",
       "         0.51110228, -0.54240367, -0.84604018, -0.42049709, -0.67755743],\n",
       "       [ 0.8593953 ,  0.61624076,  0.26680751,  0.74292118,  0.60734415,\n",
       "        -0.62685988,  0.785118  ,  0.07868448,  0.61488031,  0.7921826 ]]),\n",
       "                                        kernel_width=1, rbf_type='thinplate'),\n",
       "        regressor=EDMD())"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EDMD = pk.regression.EDMD()\n",
    "centers = np.random.uniform(-1,1,(2,10))\n",
    "RBF = pk.observables.RadialBasisFunction(\n",
    "    rbf_type=\"thinplate\",\n",
    "    n_centers=centers.shape[1],\n",
    "    centers=centers,\n",
    "    kernel_width=1,\n",
    "    polyharmonic_coeff=1.0,\n",
    "    include_state=True,\n",
    ")\n",
    "\n",
    "model = pk.Koopman(observables=RBF, regressor=EDMD)\n",
    "model.fit(X.T, y=Y.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction\n",
    "First, we will use the fitted EDMD model to predict the evolution for a single\n",
    "initial condition. The inverse transformation, i.e. from observables back to the\n",
    "state, is estimated using least-squares regression within the Koopman regressor.\n",
    "Afterwards, we will show the prediction performance for the training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# x0 = [0.6, -0.6]\n",
    "x0 = np.array([0.15, -1.3])\n",
    "T = 10\n",
    "t = np.arange(0, T, dT)\n",
    "\n",
    "# Integrate\n",
    "Xtrue = np.zeros((len(t), n_states))\n",
    "Xtrue[0, :] = x0\n",
    "for step in range(len(t)-1):\n",
    "    y = rev_dvdp(0, Xtrue[step, :][:, np.newaxis], 0, dT)\n",
    "    Xtrue[step+1, :] = y.ravel()\n",
    "\n",
    "# Simulate (multi-step prediction) Koopman model\n",
    "Xkoop = model.simulate(x0, n_steps=len(t)-1)\n",
    "Xkoop = np.vstack([x0[np.newaxis,:], Xkoop])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 1, sharex=True, tight_layout=True, figsize=(4, 4))\n",
    "axs[0].plot(t, Xtrue[:, 0], '-', color='b', label='True')\n",
    "axs[0].plot(t, Xkoop[:, 0], '--r', label='EDMD')\n",
    "axs[0].set(ylabel=r'$x_1$')\n",
    "axs[1].plot(t, Xtrue[:, 1], '-', color='b', label='True')\n",
    "axs[1].plot(t, Xkoop[:, 1], '--r', label='EDMD')\n",
    "axs[1].set(\n",
    "        ylabel=r'$x_2$',\n",
    "        xlabel=r'$t$')\n",
    "for i in range(2):\n",
    "    axs[i].legend(loc='best')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Init\n",
    "Xk = np.zeros((n_states, n_int*n_traj))\n",
    "Yk = np.zeros((n_states, n_int*n_traj))\n",
    "\n",
    "# 1-step prediction using Koopman model\n",
    "x = xE.T\n",
    "for k in range(n_int):\n",
    "    # print(k)\n",
    "    yT = model.predict(x)\n",
    "    y = yT.T\n",
    "    Xk[:, k*n_traj:(k+1)*n_traj] = x.T\n",
    "    Yk[:, k*n_traj:(k+1)*n_traj] = y\n",
    "    x = y.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2029785a3b0>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "fig, axs = plt.subplots(1, 1, tight_layout=True, figsize=(6, 6))\n",
    "legend_list = ['training - true', 'training - pred']\n",
    "for traj_idx in range(n_traj):\n",
    "    # label = legend_list[0] if traj_idx == 0 else None\n",
    "    axs.plot([X[0, traj_idx::n_traj], Y[0, traj_idx::n_traj]],\n",
    "             [X[1, traj_idx::n_traj], Y[1, traj_idx::n_traj]],'-ok',alpha=0.9,markersize=9)\n",
    "    # label = legend_list[1] if traj_idx == 0 else None\n",
    "    axs.plot([Xk[0, traj_idx::n_traj], Yk[0, traj_idx::n_traj]],\n",
    "             [Xk[1, traj_idx::n_traj], Yk[1, traj_idx::n_traj]], '-->r',alpha=0.9)\n",
    "axs.set(ylabel=r'$x_2$',\n",
    "        xlabel=r'$x_1$')\n",
    "\n",
    "axs.plot(Xtrue[:,0], Xtrue[:,1],'-^b')\n",
    "axs.plot(Xkoop[:,0], Xkoop[:,1],'->c')\n",
    "\n",
    "axs.scatter(x0[0],x0[1],s=50,c='b',label='unseen test')\n",
    "axs.set_title('red: train - pred, black: train - original, blue: unseen test')\n",
    "\n",
    "red_patch = mpatches.Patch(color='red', label='training trajectories')\n",
    "black_patch = mpatches.Patch(color='black', label='Koopman prediction on training trajectories')\n",
    "blue_patch = mpatches.Patch(color='blue', label='unseen testing trajectory')\n",
    "cyan_patch = mpatches.Patch(color='cyan', label='Koopman prediction on unseen testing trajectory')\n",
    "\n",
    "axs.set_xlim([-1.75,1.75])\n",
    "axs.set_ylim([-1.75,1.75])\n",
    "\n",
    "axs.legend(handles=[red_patch, black_patch, blue_patch, cyan_patch],loc='best', )\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
